TECHNICAL FIELD
[0001] The present invention relates to an electric current measuring apparatus using the
Faraday effect, and in particular, to a reflective electric current measuring apparatus
in which light is incident to one end of an optical fiber for a sensor and reflected
from the other end thereof.
BACKGROUND OF THE INVENTION
[0002] An electric current measuring apparatus is known in which the Faraday effect of an
optical fiber is used and which has various advantages, such as small size, flexibility,
electromagnetic noise resistance, long-distance signal transmission, and withstand
voltage, and the like. As an example of the electric current measuring apparatus,
Patent document 1,
WO 2006/022178 discloses a reflective electric current measuring apparatus which uses the Faraday
effect, that is, uses rotation of a polarization plane of a light by action of a magnetic
field.
[0003] This electric current measuring apparatus is a reflective electric current measuring
apparatus which uses a lead-glass fiber as a optical fiber for a sensor, and in which
a mirror is disposed at the other end of the optical fiber for a sensor. The optical
fiber for a sensor is provided around the periphery of an electric conductor, through
which measured electric current flows, to detect the measured electric current. Basically,
while a linearly polarized light incident from one end of the optical fiber for a
sensor travels to the mirror and returns, a Faraday rotation angle of the linearly
polarized light rotated by a magnetic field of the measured electric current is detected.
The electric current measuring apparatus also includes a Faraday rotator made of a
ferromagnetic crystal such as YIG.
[0004] However, the Faraday rotation angle of the Faraday rotator used in the electric current
measuring apparatus has a characteristic (temperature characteristic) depending on
ambient temperature. The optical fiber for a sensor also has a temperature characteristic
of a ratio error resulting from the temperature dependency of a Verdet constant and
the Faraday rotation angle. Thus, it is necessary to perform not only compensation
in the Faraday rotator but also compensation for (reduction in) the temperature characteristic
of the optical fiber for a sensor. As an electric current measuring apparatus which
fully compensates for the temperature characteristics of both the Faraday rotator
and the optical fiber for a sensor, the present inventors invented an electric current
measuring apparatus which set a fluctuation range of a ratio error within ±0.5% or
±0.2% (refer to Patent Literature 2).
[0005] The electric current measuring apparatus described in Patent document 2,
JP 2010-271292A is configured to include at least a optical fiber for a sensor, a polarization splitter,
a Faraday rotator, a light source, and a signal processing circuit including a photoelectric
conversion element. The optical fiber for a sensor is provided around the periphery
of an electric conductor through which measured electric current flows. Also, a Faraday
rotation angle of the Faraday rotator at the time of magnetic saturation is set to
22.5° + α° at a temperature of 23°C. to change the Faraday rotation angle as much
as α° from 22.5°, such that a fluctuation range of a ratio error in a measurement
value of the measured electric current output from the signal processing circuit is
set within a range of ±0.5% or ±0.2% in a temperature range between -20°C. or higher
and 80°C. or lower.
[0006] By reducing the fluctuation range of the ratio error of the Faraday rotator, the
fluctuation range of the ratio error in the measurement value of the measured electric
current output from the signal processing circuit is suppressed to be within ±0.5%
or ±0.2%. Therefore, the compensation for the temperature characteristic of the ratio
error in the measurement value can be performed in the Faraday rotator, thereby improving
reliability of the electric current measuring apparatus. Also, by suppressing the
fluctuation range of the ratio error to be within ±0.5% or ±0.2%, it is possible to
achieve the electric current measuring apparatus which can be applied to a protection
relay.
CITATION LIST
Patent Literature
SUMMARY OF INVENTION
Technical Problem
[0008] However, as a result the present inventors actually suppressed the fluctuation range
of the ratio error in the electric current measuring apparatus to be within ±0.5%,
the present inventors found through consideration of the electric current measuring
apparatus in Patent document 2 that birefringence inherent in the optical fiber for
a sensor was relatively revealed as a large target for compensation.
[0009] The optical fiber for a sensor has birefringence even in a linear state. The above
optical fiber for a sensor is provided around the periphery of the electric conductor.
Accordingly, the optical fiber for a sensor is deformed from the linear state. This
deformation along with bending generates stress in the optical fiber for a sensor,
and the stress generates larger birefringence in the optical fiber for a sensor. Consequently,
the present inventors have found that, as the ratio error is reduced more, two propagation
modes each having an uncontrollable phase are output at the time of output from the
optical fiber for a sensor, and fluctuation and attenuation significantly occur in
the output from the electric current measuring apparatus.
[0010] When the present inventors actually measured the fluctuation range of the ratio error
in the electric current measuring apparatus disclosed in Patent document 2, as illustrated
in Fig. 31, the fluctuation range of the ratio error resulting from the birefringence
of the optical fiber for a sensor was revealed in a range of approximately -1.0% to
approximately 1.2% (in a range of approximately -0.7% to approximately 1.2% in a temperature
range between -20°C. or higher and 80°C. or lower) in a measurement value of measured
electric current output from the electric current measuring apparatus. Accordingly,
the present inventors have found that it is difficult to suppress the fluctuation
range of the ratio error in the measurement value of the measured electric current
to be within ±0.5% only by reducing the fluctuation range of the ratio error of the
Faraday rotator as described above.
[0011] The present invention is accomplished by taking such circumstances as mentioned above
into consideration, and an object of the present invention is to provide an electric
current measuring apparatus enabling a fluctuation range of a ratio error in an output
to be set within ±0.5% reliably and enabling assembling to be facilitated.
Solution to Problem
[0012] The above problem is solved by the present invention described below.
- (1) An electric current measuring apparatus at least includes a light incident and
emitting unit, an optical fiber for a sensor, a Faraday rotator, a first quarter-wave,
i.e. 1/4 wavelength plate and a second quarter-wave, i.e. 1/4 wavelength plate, a
polarization splitter, a light source, and a signal processing circuit including a
photoelectric conversion element.
The light incident and emitting unit is constituted by two waveguides arrayed.
The light incident and emitting unit, the polarization splitter, the first quarter-wave
plate, the second quarter-wave plate, the Faraday rotator, and the optical fiber for
a sensor are arranged in this order.
The optical fiber for a sensor is birefringent, is provided around a periphery of
an electric conductor through which measured electric current flows, and includes
a first end into which two circularly polarized lights having different rotation angles
are incident and a second end reflecting the incident circularly polarized lights.
The second quarter-wave plate is provided on the first end side of the optical fiber
for a sensor.
The Faraday rotator is arranged between the first end side of the optical fiber for
a sensor and the second quarter-wave plate.
A light emitted from the light source is reflected on the second end to set a reciprocating
optical path of the polarization splitter, the first quarter-wave plate, the second
quarter-wave plate, the Faraday rotator, and the optical fiber for a sensor in which
the light reciprocates.
In the reciprocating optical path between the first quarter-wave plate and the second
quarter-wave plate, two linearly polarized lights are propagated, and a phase difference
between the two linearly polarized lights in the reciprocating optical path between
the first quarter-wave plate and the second quarter-wave plate is compensated.
A Faraday rotation angle of the Faraday rotator at time of magnetic saturation is
set to 22.5° + α° (factor) at a temperature of 23°C., and a fluctuation range of a
ratio error in a measurement value of the measured electric current output from the
signal processing circuit is set within a range of ±0.5%.
Directions of crystal axes on respective optical surfaces of the first quarter-wave
plate and the second quarter-wave plate are set to be perpendicular to each other
or in an equal direction.
The reciprocating optical path between the first quarter-wave plate and the second
quarter-wave plate through which the two linearly polarized lights are propagated
may be constituted by a polarization maintaining fiber (PMF) or two birefringent elements
in which directions of crystal axes on optical surfaces correspond, and in which directions
in which an extraordinary light is shifted are set to be reversed.
- (2) In the electric current measuring apparatus according to an embodiment of the
present invention, a direction of a crystal axis on an optical surface of the polarization
splitter and the direction of the crystal axis on the optical surface of the first
quarter-wave plate are set to be perpendicular to each other or in an equal direction.
- (3) In the electric current measuring apparatus according to another embodiment of
the present invention, the direction of the crystal axis on the optical surface of
the polarization splitter, the direction of the crystal axis on the optical surface
of the first quarter-wave plate, and the direction of the crystal axis on the optical
surface of the second quarter-wave plate are set to be in an equal direction.
- (4) In the electric current measuring apparatus according to another embodiment of
the present invention, a temperature range in which the fluctuation range is set within
the range of ±0.5% is preferably 100 degrees in the Celsius scale.
- (5) In the electric current measuring apparatus according to another embodiment of
the present invention, the temperature range of 100 degrees in the Celsius scale.
is preferably between -20°C. or higher and 80°C. or lower.
- (6) In of the electric current measuring apparatus according to another embodiment
of the present invention, the Faraday rotator preferably has a temperature characteristic
of a Faraday rotation angle in which the Faraday rotation angle at time of magnetic
saturation changes in a quadratically-curved manner along with a temperature change.
- (7) In of the electric current measuring apparatus according to another embodiment
of the present invention, the Faraday rotator is preferably constituted by two or
more Faraday elements.
- (8) In the electric current measuring apparatus according to another embodiment of
the present invention, Faraday rotation angles of the two or more Faraday elements
preferably differ from each other.
- (9) In the electric current measuring apparatus according to another embodiment of
the present invention, the fluctuation range of the ratio error in the measurement
value of the measured electric current output from the signal processing circuit is
preferably set within a range of ±0.2%.
- (10) In the electric current measuring apparatus according to another embodiment of
the present invention, a temperature range in which the fluctuation range is set within
the range of ±0.2% is preferably 100 degrees in the Celsius scale.
- (11) In the electric current measuring apparatus according to another embodiment of
the present invention, the temperature range of 100 degrees in the Celsius scale is
preferably between -20°C. or higher and 80°C. or lower.
- (12) In the electric current measuring apparatus according to another embodiment of
the present invention, the optical fiber for a sensor is preferably a lead-glass fiber.
Advantageous Effects of Invention
[0013] According to the present invention described in claim 1 (that is, the invention
described in the above (1)), in addition to the change of the rotation angle of the
Faraday rotator as much as α° from 22.5° at the temperature of 23°C. to reduce the
fluctuation range of the ratio error in the electric current measuring apparatus,
the ratio error along with the birefringence inherent in the optical fiber for a sensor
is compensated, and the phase difference between the two linearly polarized lights
in the reciprocating optical path between the first quarter-wave plate and the second
quarter-wave plate is compensated. Accordingly, all of the phase differences other
than the phase difference of the rotation angle of the Faraday rotator are compensated
except a phase difference φ caused by the Faraday effect in the optical fiber for
a sensor and do not appear in the output of the electric current measuring apparatus.
Consequently, since the fluctuation range of the ratio error resulting from the birefringence
of the optical fiber for a sensor (approximately -0.1% to approximately 1.2%) is compensated,
and the phase difference between the two linearly polarized lights in the reciprocating
optical path between the first quarter-wave plate and the second quarter-wave plate
is compensated, the fluctuation range of the ratio error in the output of the electric
current measuring apparatus can be set within ±0.5% reliably.
[0014] Also, since the phase differences other than the phase difference of the rotation
angle of the Faraday rotator are compensated except the phase difference φ, the output
of the electric current measuring apparatus is not influenced by phase changes at
the time of light propagation in the optical fiber of the electric current measuring
apparatus due to application of disturbances. Accordingly, an output characteristic
of the electric current measuring apparatus can be stabilized.
[0015] Further, the directions of the crystal axes on the respective optical surfaces of
the first and second quarter-wave plates are set to be perpendicular or in equal directions.
Accordingly, even in a case in which the number of components increases as much as
the two quarter-wave plates when the electric current measuring apparatus using circularly
polarized lights is constituted, no fine adjusting operation of the angles of the
mutual crystal axes is required. Thus, high function of suppressing the fluctuation
range of the ratio error to be within ±0.5% and facilitation of assembling of components
can be achieved at the same time.
[0016] Still further, since the electric current measuring apparatus according to the present
invention can be achieved broadly regardless of the kind of the optical fiber for
a sensor, the yield ratio of the electric current measuring apparatus can also be
improved.
[0017] Also, according to the present invention described in claim 2 (that is, the invention
described in the above (2)), in addition to the effect of the invention described
in claim 1, no fine adjusting operation of the angles of the mutual crystal axes is
required when the polarization splitter is installed to the first quarter-wave plate.
Thus, an assembling operation of the polarization splitter and the first quarter-wave
plate can be facilitated.
[0018] Further, according to the present invention described in claim 3 (that is, the invention
described in the above (3)), in addition to the effect of the invention described
in claim 1, no adjusting operation of the angles of the crystal axes of the polarization
splitter and the two quarter-wave plates and no installing operation of the polarization
splitter and the two quarter-wave plates are required. Thus, an assembling operation
of the polarization splitter and the two quarter-wave plates can further be facilitated.
[0019] Still further, according to the present invention described in claims 4 and 5 or
10 and 11 (that is, the invention described in the above (4) and (5) or (10) and (11)),
by achieving the fluctuation range of the ratio error of ±0.5% or ±0.2% through the
temperature range of 100 degrees in the Celsius scale (between -20°C. or higher and
80°C. or lower), it is possible to provide the electric current measuring apparatus
having practicality to cover the normal temperature range, which ranges from -10°C.
or higher and 40°C. or lower.
[0020] Still further, according to the present invention described in claim 6 or 9 (that
is, the invention described in the above (6) or (9)), by providing the Faraday rotator
having the temperature characteristic of the Faraday rotation angle in which the Faraday
rotation angle at time of magnetic saturation changes in a quadratically-curved manner
along with a temperature increase, it is possible to suppress the fluctuation range
of the ratio error in the measurement value of the measured electric current output
from the signal processing circuit to be within ±0.5% or ±0.2%. Accordingly, the electric
current measuring apparatus can be used for application in which the temperature characteristic
of the ratio error within ±0.2% is required (e.g., an electric energy meter for measuring
an electric rate which requires strict measurement) in addition to application within
±0.5%.
[0021] Still further, according to the present invention described in claim 7 (that is,
the invention described in the above (7)), the Faraday rotator having a desired rotation
angle can be obtained in a stable manner.
[0022] Still further, according to the present invention described in claim 8 (that is,
the invention described in the above (8)), since the Faraday rotation angles of the
respective Faraday elements can differ from each other, the temperature characteristic
of each Faraday element can be set to be a desired characteristic.
[0023] Still further, according to the present invention described in claim 12 (that is,
the invention described in the above (12)), even when the lead-glass fiber is used
for the optical fiber for a sensor, it is possible to suppress the fluctuation range
of the ratio error in the measurement value of the measured electric current output
from the signal processing circuit to be within ±0.5% (or ±0.2%).
BRIEF DESCRIPTION OF DRAWINGS
[0024]
Fig. 1 is an explanatory diagram illustrating a configuration of an electric current
measuring apparatus according to an embodiment of the present invention.
Fig. 2 is an explanatory diagram illustrating a configuration of an optical system
(except a circulator) in the electric current measuring apparatus in Fig. 1.
Fig. 3 is a perspective view illustrating arrangement of respective components from
a light incident and emitting unit to a polarization maintaining fiber and a polarization
state of light on an outbound path in the electric current measuring apparatus in
Fig. 2.
Fig. 4 is a perspective view illustrating arrangement of the respective components
from the polarization maintaining fiber to a optical fiber for a sensor and a polarization
state of light on the outbound path in the electric current measuring apparatus in
Fig. 2.
Fig. 5 is a view of an end surface of the polarization maintaining fiber illustrating
directions of polarization maintaining axes of the polarization maintaining fiber
in Fig. 2 and polarization states of incident lights into the polarization maintaining
fiber.
Fig. 6 illustrates a direction of a crystal axis of a second quarter-wave plate in
Fig. 2 and polarization states of propagation lights to the second quarter-wave plate.
Fig. 7 illustrates polarization states of propagation lights from emission from a
first optical fiber until reflection on the other end of the optical fiber for a sensor
in the electric current measuring apparatus in Fig. 2.
Fig. 8 is a perspective view illustrating arrangement of the respective components
from the polarization maintaining fiber to the optical fiber for a sensor and a polarization
state of light on an inbound path in the electric current measuring apparatus in Fig.
2.
Fig. 9 is a perspective view illustrating arrangement of the respective components
from the light incident and emitting unit to the polarization maintaining fiber and
a polarization state of light on the inbound path in the electric current measuring
apparatus in Fig. 2.
Fig. 10 illustrates polarization states of propagation lights from reflection on the
other end of the optical fiber for a sensor until incidence into first and second
optical fibers in the electric current measuring apparatus in Fig. 2.
Fig. 11 is a graph schematically illustrating a temperature characteristic of a ratio
error in a temperature range between -20°C. or higher and 80°C. or lower in the electric
current measuring apparatus including a Faraday rotator having a Faraday rotation
angle of 45° at a temperature of 23°C. when a circularly polarized light transmits
in a reciprocating manner.
Fig. 12 is a graph schematically illustrating a temperature dependency of the Faraday
rotation angle when the Faraday rotation angle at the temperature of 23°C. changed
by α° from 22.5° and light transmits in a reciprocating manner.
Fig. 13 a graph schematically illustrating the temperature characteristic of the ratio
error in the temperature range between -20°C. or higher and 80°C. or lower in the
electric current measuring apparatus including the Faraday rotator in when the Faraday
rotation angle changed by α° from 22.5° and a curve of the temperature characteristic
of the ratio error is shifted to a high temperature side.
Fig. 14 is a graph illustrating an example of a temperature characteristic of the
ratio error in a measurement value of a measured electric current output from a signal
processing circuit in the electric current measuring apparatus according to the embodiment
of the present invention.
Fig. 15 is a graph schematically illustrating the temperature characteristic of the
ratio error of a lead-glass fiber which is used as the optical fiber for a sensor
for the sensor.
Fig. 16 is a configuration diagram illustrating another mode of an electric current
measuring apparatus according to Fig. 2.
Fig. 17 is a graph schematically illustrating the temperature characteristic of the
Faraday rotation angle of a first Faraday element.
Fig. 18 is a graph schematically illustrating the temperature characteristic of the
Faraday rotation angle of a second Faraday element.
Fig. 19 is a graph illustrating the temperature characteristic of the Faraday rotation
angle in which the temperature characteristics of the Faraday rotation angles shown
in Figs. 17 and 18 are combined.
Fig. 20 is a graph illustrating an example of the temperature characteristic of the
ratio error of the electric current measuring apparatus in the measurement value of
a measured electric current obtained from the temperature dependency of the Faraday
rotation angle shown in Fig. 19.
Fig. 21 is a partial schematic view illustrating a modification example of each end
surface shape of the first optical fiber and the second optical fiber.
Fig. 22 is a perspective view illustrating another form of a reciprocating optical
path between a first quarter-wave plate and the second quarter-wave plate in Fig.
2.
Fig. 23 is a perspective view illustrating a modification example of the electric
current measuring apparatus according to an embodiment of the present invention.
Fig. 24 is a graph illustrating the temperature characteristic of the ratio error
in Example 1 of the electric current measuring apparatus of the present invention.
Fig. 25 is a graph illustrating an example of a temperature characteristic of the
Faraday rotation angle of a Faraday element 27a in Example 2 of the electric current
measuring apparatus of the present invention.
Fig. 26 is a graph illustrating an example of a temperature characteristic of the
Faraday rotation angle of a Faraday element 27b in Example 2 of the electric current
measuring apparatus of the present invention.
Fig. 27 is a graph illustrating an example of a temperature characteristic of a total
Faraday rotation angle of the Faraday elements 27a and 27b in Example 2 of the electric
current measuring apparatus according to the present invention.
Fig. 28 is a graph illustrating the temperature characteristic of the ratio error
in Example 2 of the electric current measuring apparatus of the present invention.
Fig. 29 is a graph illustrating a temperature characteristic of the Faraday rotation
angle of the Faraday rotator in Example 3 of the electric current measuring apparatus
of the present invention.
Fig. 30 is a graph illustrating the temperature characteristic of the ratio error
in Example 3 of the electric current measuring apparatus of to the present invention.
Fig. 31 is a graph illustrating a temperature characteristic of a ratio error showing
a fluctuation range of the ratio error of an electric current measuring apparatus
disclosed in Patent document 2 mentioned above.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
[0025] Hereinbelow, an electric current measuring apparatus according to an embodiment of
the present invention will be described in detail with reference to the drawings.
An electric current measuring apparatus 1 illustrated in Fig. 1 is configured to include
at least a light incident and emitting unit, a optical fiber for a sensor 2, a Faraday
rotator 3, a first quarter-wave plate 4 and a second quarter-wave plate 5, a polarization
splitter 6, a light source 7, and a signal processing circuit 8 including photoelectric
conversion elements 13a and 13b. Also, a light emitted from the light source 7 is
reflected on the other end of the optical fiber for a sensor 2 to set a reciprocating
optical path of the polarization splitter 6, the first quarter-wave plate 4, the second
quarter-wave plate 5, the Faraday rotator 3, and the optical fiber for a sensor 2
in which the light reciprocates.
[0026] Meanwhile, in the following description, an XYZ orthogonal coordinate system illustrated
in Fig. 1 is set, and positional relation among the respective components is described
with reference to this XYZ orthogonal coordinate system. A light propagating direction
from the polarization splitter 6 to the optical fiber for a sensor 2 is set to be
a Z axis, and a horizontal direction and a vertical direction in a plane perpendicular
to the Z axis are set to be an X axis and a Y axis, respectively. XYZ orthogonal coordinate
systems illustrated in Figs. 1 to 23 correspond to each other in the respective figures.
[0027] The electric current measuring apparatus 1 roughly includes the light source 7, the
signal processing circuit 8, and an optical system 9 as illustrated in Fig. 1, and
the optical system 9 includes respective components illustrated in Fig. 2 and a circulator
10. The light incident and emitting unit is constituted by a first optical fiber 11
and a second optical fiber 12 arrayed as two waveguides. Also, as the respective components
illustrated in Figs. 2 to 4, the light incident and emitting unit, the polarization
splitter 6, the first quarter-wave plate 4, the second quarter-wave plate 5, the Faraday
rotator 3, and the optical fiber for a sensor 2 are arranged in this order.
[0028] A linearly polarized light L1 having a polarizing direction parallel to a direction
of the X axis is incident into the polarization splitter 6. The linearly polarized
light L1 is incident from the first optical fiber 11 into the polarization splitter
6 as illustrated in Figs. 2 and 3.
[0029] The first optical fiber 11 is a polarization maintaining fiber and an optical fiber
that can transmit a light while maintaining a linear polarization state (so called
PMF; Polarization Maintaining Fiber), and an end surface 11a on one end side thereof
is arranged close to the polarization splitter 6. Alternatively, the end surface 11a
and the polarization splitter 6 may be arranged to abut on each other. As a result,
the first optical fiber 11 has a function of letting the linearly polarized light
L1 incident into the polarization splitter 6 and propagating an ordinary light LO
emitted from the polarization splitter 6 to the photoelectric conversion element 13a.
This polarization maintaining fiber is arranged so that a principal axis thereof may
correspond to the polarizing direction (the direction of the X axis) of the linearly
polarized light L1.
[0030] The second optical fiber 12 is a single-mode optical fiber, a multimode optical fiber,
or a polarization maintaining fiber, and an end surface 12a on one end side thereof
is arranged close to the polarization splitter 6. Alternatively, the end surface 12a
and the polarization splitter 6 may be arranged to abut on each other. As a result,
the second optical fiber 12 has a function of propagating an extraordinary light LE
emitted from the polarization splitter 6 to the photoelectric conversion element 13b.
[0031] In a case of the present embodiment, the first and second optical fibers 11 and 12
have the end surfaces 11a and 12a on one end sides arranged on an equal plane and
are held by a dual-core ferrule 14 with a predetermined space interposed therebetween.
The aforementioned predetermined space is set in accordance with a thickness of the
parallel flat-plate-shaped polarization splitter 6 and physical properties of a material
for the polarization splitter 6. The aforementioned predetermined space corresponds
to a splitting space of the polarization splitter 6 to enable the ordinary light LO
and the extraordinary light LE to be incident into respective cores of the respective
optical fibers 11 and 12. It is to be noted that a means for keeping the predetermined
space between the first and second optical fibers 11 and 12 does not need to be limited
to the ferrule 14 and may be an array substrate provided with two parallel V-shaped
recesses. By arranging the optical fibers 11 and 12 in the V-shaped recesses, the
optical fibers 11 and 12 can be positioned.
[0032] The polarization splitter 6 is a light transmissive optical element and is installed
close to the side of the end surface 11a of the first optical fiber 11. The polarization
splitter 6 is made of a birefringent element. The polarization splitter 6 has a function
as a polarization splitting element, which lets a linearly polarized light transmitted
therethrough as it is when the linearly polarized light is incident perpendicularly
to a crystal axis and lets a linearly polarized light shifted in parallel and emitted
therefrom when the linearly polarized light is incident along the crystal axis. When
a linearly polarized light having a polarization plane other than the two planes perpendicular
to each other is incident, the linearly polarized light is split into respective vector
components according to light intensity, and an ordinary light is transmitted as it
is while an extraordinary light is shifted in parallel and emitted. Accordingly, the
polarization splitter 6 has a function of splitting a linearly polarized light propagated
from a side of the optical fiber for a sensor 2 into the ordinary light LO and the
extraordinary light LE perpendicular to each other and letting the linearly polarized
light L1 emitted from the light source 7 described below transmitted therethrough.
[0033] A material for the polarization splitter 6 can be selected from rutile, YVO
4, lithium niobate, and calcite. The birefringent element selected from such materials
is processed into a flat plate having opposed light incident and emitting optical
surfaces parallel to each other to have a predetermined thickness as the polarization
splitter 6. The polarization splitter 6 is installed so that one parallel optical
surface may opposed to the end surfaces 11a and 12a of the first optical fiber 11
and the second optical fiber 12 while the other optical surface may be opposed to
a lens 15 and the first quarter-wave plate 4. Also, a direction of a crystal axis
X61 on each optical surface is set to be parallel to a direction of the Y axis. When
a linearly polarized light is incident into one optical surface, the polarization
splitter 6 splits the linearly polarized light into the ordinary light LO and the
extraordinary light LE, and when the ordinary light LO and the extraordinary light
LE are emitted from the other surface, the polarization splitter 6 emits the ordinary
light LO and the extraordinary light LE in parallel with a predetermined splitting
space interposed therebetween.
[0034] The first quarter-wave plate 4 is arranged to be surface-opposed to the polarization
splitter 6 so that a direction of a crystal axis X41 on an optical surface thereof
may be in the direction of the X axis. As a material therefor a crystal material such
as a quartz crystal and magnesium fluoride is used, and the material is processed
into a flat plate having opposed light incident and emitting optical surfaces parallel
to each other to have a thickness in which a phase of a linearly polarized light having
a wavelength λ is shifted π/2.
[0035] In a reciprocating optical path between the first quarter-wave plate 4 and the below-mentioned
second quarter-wave plate 5, two linearly polarized lights are propagated. In the
present embodiment, a polarization maintaining fiber 17 is used as the reciprocating
optical path. The polarization maintaining fiber 17 is an optical fiber that can transmit
a light while maintaining a linear polarization state (PMF) and is provided in an
element wire thereof with a core 17a having a high refractive index, a cladding 17c
having a relatively low refractive index concentrically formed around the periphery
of this core 17a, and two stress applying portions 17b provided in the cladding 17c
as illustrated in an end view in Fig. 5.
[0036] The stress applying portions 17b are symmetrically arranged in the cladding 17c with
the core 17a interposed therebetween, and each cross-section thereof is circular.
Also, a refractive index thereof is further lower than that of the cladding 17c. For
the stress applying portions 17b, a material having a larger thermal expansion coefficient
than that of the cladding 17c is used, and B
2O
3-SiO
2 glass is used in particular. Internal stress is applied to the core 17a from both
sides by the two stress applying portions 17b (applied in a direction at 45° to the
X axis, that is, in a direction of an S axis, in a case of Fig. 5) and causes a stress
distribution inside the core 17a to be asymmetric in the direction of the S axis and
in a direction perpendicular to the direction (a direction at 45° to the Y axis, that
is, in a direction of an F axis), and a birefringent characteristic appears.
[0037] Due to this birefringent characteristic, the linearly polarized light L1 incident
in the polarizing direction parallel to the X axis is split into respective axial
components (the S axis and the F axis in Fig. 5) according to light intensity, and
two linearly polarized lights LF and LS are propagated inside the polarization maintaining
fiber 17 and are emitted. The stress direction or the S axis and the perpendicular
direction or the F axis are referred to as principal axes (polarization maintaining
axes) of the polarization maintaining fiber. The asymmetry of the stress distribution
differentiates a propagation constant of the S axis from that of the F axis to prevent
coupling between polarization modes. Due to the birefringent characteristic, the S
axis and the F axis have different group velocities of light. When a mode refractive
index is low, the group velocity of light traveling in the direction is high. Thus,
the direction of the F axis is referred to as a fast axis. From a similar reason,
the direction of the S axis having a high mode refractive index is referred to as
a slow axis.
[0038] An end surface on one end side of the polarization maintaining fiber 17 is arranged
to be opposed to the lens 15 while an end surface on the other end side is arranged
to be surface-opposed to the second quarter-wave plate 5. Each of the end surfaces
is an erected surface perpendicular to an optical axis of the polarization maintaining
fiber 17.
[0039] The lens 15 is arranged between the end surface on one end side of the polarization
maintaining fiber 17 and the first quarter-wave plate 4. In the present embodiment,
the lens 15 is a single lens, and a focus thereof is set approximately at a center
of the core on the end surface of the polarization maintaining fiber 17.
[0040] It is to be noted that the respective end surfaces 11a and 12a of the first and second
optical fibers 11 and 12 may be changed to be oblique by being subjected to a polishing
process as illustrated in Fig. 21. By forming the end surfaces 11a and 12a in oblique
shapes in this manner, positions of the end surfaces 11a and 12a can be made to correspond
to focal lengths of the ordinary light LO and the extraordinary light LE of the lens
15 to enable a coupling efficiency of the first optical fiber 11 and the second optical
fiber 12 to be improved.
[0041] The second quarter-wave plate 5 is used as an optical element which converts the
two linearly polarized lights LF and LS propagated in the polarization maintaining
fiber 17 into circularly polarized lights LC1 and LC2 with respect to the polarization
planes. As a material therefor a crystal material such as a quartz crystal and magnesium
fluoride is used, and the material is processed into a flat plate having opposed light
incident and emitting optical surfaces parallel to each other to have a thickness
in which a phase of each of the linearly polarized lights LF and LS each having a
wavelength λ is shifted π/2.
[0042] The second quarter-wave plate 5 is arranged to be surface-opposed to the polarization
maintaining fiber 17 and is arranged on one end side of the optical fiber for a sensor
2. Also, a direction of a crystal axis X51 on each optical surface thereof is set
to be in the direction of the X axis at an angle of ±45° to the polarizing directions
of the two linearly polarized lights LF and LS incident from the polarization maintaining
fiber 17.
[0043] Accordingly, the directions of the crystal axes X41 and X51 on the respective optical
surfaces of the first quarter-wave plate 4 and the second quarter-wave plate 5 are
set to be in the same direction, that is, the direction of the X axis. Also, since
the direction of the crystal axis X61 on the optical surface of the polarization splitter
6 is set to be in the direction of the Y axis as described above, the direction of
the crystal axis X61 and the direction of the crystal axis X41 are set to be perpendicular
to each other.
[0044] The Faraday rotator 3 is a light transmissive optical element provided on the periphery
thereof with a permanent magnet 3a, is made of a bismuth-substituted garnet single
crystal, and is arranged between a proximity to a side of one end 2a serving as an
incident end of the optical fiber for a sensor 2 and the second quarter-wave plate
5. An external shape thereof is processed into a flat plate having opposed light incident
and emitting optical surfaces parallel to each other to have a predetermined thickness.
The Faraday rotator 3 gives a total phase difference in the reciprocation corresponding
to a Faraday rotation angle due to magnetic saturation to one of the two incident
circularly polarized lights LC1 and LC2. Meanwhile, Figs. 4 and 8 omit illustration
of the permanent magnet 3a.
[0045] In the present invention, the Faraday rotation angle at the time of magnetic saturation
when the two circularly polarized lights LC1 and LC2 are transmitted is set to be
an angle slightly changed from 22.5° at a temperature of 23°C. The reason for setting
the temperature for measurement of the Faraday rotation angle to 23°C. is that the
present applicant has set the temperature as a temperature at which the Faraday rotation
angle can be measured most easily when the Faraday rotation angle is measured at ordinary
temperature. Accordingly, the Faraday rotation angle when the circularly polarized
light LC1 or LC2 is transmitted through the Faraday rotator 3 once is 22.5° + α°,
the amount of the slight change. Thus, the sum of a phase difference between the circularly
polarized lights after being transmitted through the second quarter-wave plate 5 and
before being transmitted through the Faraday rotator 3 and a phase difference between
the circularly polarized lights after being emitted from the optical fiber for a sensor
2 and after being transmitted through the Faraday rotator 3 is twice as much as the
Faraday rotation angle, that is, 45° + 2α° in total, in a case of not being influenced
by measured electric current I. Meanwhile, as for a rotating direction of the Faraday
rotation angle, either right rotation i.e. rotation in a clockwise direction or left
rotation i.e. rotation in a counterclockwise direction, in a direction of the Z axis
may be set arbitrarily, and Fig. 3 illustrates a case of left rotation as an example.
[0046] Fig. 11 is a graph schematically illustrating a temperature characteristic of a ratio
error in a temperature range between -20°C. or higher and 80°C. or lower in a measurement
value of the measured electric current output from the signal processing circuit of
the electric current measuring apparatus having a Faraday rotation angle of 45° at
a temperature of 23°C. when a circularly polarized light is transmitted in a reciprocating
manner. The reason for setting the temperature range to 100 degrees in the Celsius
scale ranging between -20°C. or higher and 80°C. or lower is that the temperature
range is a request from a customer of the present applicant.
[0047] As illustrated in Fig. 11, the ratio error in the electric current measuring apparatus
increases in a nonlinear fashion as the temperature increases. In such a temperature
characteristic of the ratio error, by setting the Faraday rotation angle at the temperature
of 23°C. to be changed as much as the slight rotation angle α° from 22.5°, the rotation
angle is 45° + 2α° in the reciprocation as described above as illustrated in Fig.
12. Consequently, as illustrated in Fig. 13, the curve of the temperature characteristic
of the ratio error in the electric current measuring apparatus is shifted to a high
temperature side. This enables a fluctuation range of the ratio error to be reduced
as is apparent from comparison between Fig. 11 and Fig. 13. The rotation angle α°C.an
be set arbitrarily within a range in which the fluctuation range of the ratio error
is reduced when the curve of the temperature characteristic of the ratio error is
shifted. In this manner, by changing the Faraday rotation angle as much as α° from
22.5°, the fluctuation range of the ratio error in the electric current measuring
apparatus is reduced.
[0048] A lens 16 is arranged between the Faraday rotator 3 and the second quarter-wave plate
5. In the present embodiment, the lens 16 is a single lens, and a focus thereof is
set approximately at the center of the core 17a on the end surface of the polarization
maintaining fiber 17 and approximately at a center of a core at one end 2a of the
optical fiber for a sensor 2. One end 2a of the optical fiber for a sensor 2 is also
an erected surface perpendicular to an optical axis of the optical fiber 2.
[0049] The optical fiber for a sensor 2 is provided around the periphery of an electric
conductor 18, through which the measured electric current I flows. A kind of a fiber
constituting the optical fiber for a sensor 2 is not particularly limited but shall
be a birefringent fiber. Among fibers, a lead-glass fiber is suitable for the optical
fiber for a sensor 2 since the lead-glass fiber has characteristics of having a small
photo-elastic coefficient and having a relatively large Verdet constant, which determines
the strength of the Faraday effect.
[0050] The optical fiber for a sensor 2 also includes one end 2a into which the two circularly
polarized lights LC1 and LC2 having different rotation angles emitted from the Faraday
rotator 3 are incident, and the other end thereof for reflecting the incident circularly
polarized lights LC1 and LC2. The other end is provided with a mirror 19 as a reflecting
member. It is to be noted that the other end may be provided with an arbitrary reflecting
member instead of the mirror 19, and examples thereof are a metal having low absorbance
and high reflectance to light such as gold, silver, copper, chromium, and aluminum,
and a reflecting film such as a dielectric film.
[0051] Further, referring to Fig. 1, the electric current measuring apparatus 1 includes
the circulator 10, the light source 7, photo diodes (PD) 13a and 13b as a kind of
a photoelectric conversion element, amplifiers (A) 21a and 21b, band-pass filters
(BPF) 22a and 22b, low-pass filters (LPF) 23a and 23b, dividers 24a and 24b configured
to derive a ratio of an alternating-current component to a direct-current component
of an electric signal, a polarity inverter 25, and an operator 26.
[0052] The photodiode 13a receives the ordinary light LO and outputs a first electric signal
in accordance with the light intensity of the LO. The other photodiode 13b receives
the extraordinary light LE and outputs a second electric signal in accordance with
the light intensity of the LE. The signal processing circuit 8 calculates a current
value for the measured electric current I based on the first and second electric signals.
[0053] The light source 7 is constituted by a semiconductor laser (LD: laser diode), a light
emitting diode (LED), a super luminescent diode (SLD), an ASE light source, or the
like and emits a light having a predetermined wavelength λ.
[0054] The circulator 10 may be either a polarization dependent type or a polarization independent
type. The circulator 10 converts a light emitted from the light source 7 into a linearly
polarized light and lets one linearly polarized light L1 into the first optical fiber
11. The circulator 10 may be constituted by a birefringent element or a 45° Faraday
rotator. The circulator 10 may be replaced with a polarization splitting prism or
an optical fiber coupler.
[0055] Operations of the electric current measuring apparatus 1 configured as above will
be described with reference to the drawings. Meanwhile, Figs. 7(a) to 7(d) and Fig.
10(e) to 10(h) correspond to polarization states on cross-sections of the respective
optical paths illustrated by signs (a) to (h) in Fig. 2. Also, each of Figs. 7(a)
to 7(d) and Fig. 10(e) to 10(h) illustrates a propagating position on a matrix in
which the direction of the X axis is expressed by 1 to 4 while the direction of the
Y axis is expressed by a to d. For example, since the propagating position of the
linearly polarized light L1 illustrated in Fig. 7(a) is between 2 and 3 in the direction
of the X axis and between a and b in the direction of the Y axis on the matrix, such
a propagating position is referred to as (2-3, a-b) in the present embodiment.
[0056] First, a laser light having a wavelength λ emitted from the light source 7 is converted
into one linearly polarized light L1 having a polarizing direction parallel to the
direction of the X axis by the circulator 10 and is then incident into the first optical
fiber 11 (refer to Figs. 2 and 3).
[0057] Since the first optical fiber 11 is a polarization maintaining fiber, the linearly
polarized light L1 is propagated to the end surface 11a on one end side of the first
optical fiber 11 with the polarizing direction thereof maintained and is emitted from
the end surface 11a to the polarization splitter 6 at a propagating position of (2-3,
a-b) (refer to Fig. 7(a)).
[0058] As described above, since the direction of the crystal axis X61 on the optical surface
of the polarization splitter 6 is set to be parallel to the direction of the Y axis,
the direction of the crystal axis X61 is perpendicular to the polarizing direction
of the linearly polarized light L1. Accordingly, the linearly polarized light L1 is
transmitted through the polarization splitter 6 as an ordinary light without causing
birefringence inside the polarization splitter 6 and is incident into the first quarter-wave
plate 4, maintaining the polarization state at the time of being incident into the
polarization splitter 6.
[0059] As described above, since the direction of the crystal axis X41 on the optical surface
of the first quarter-wave plate 4 is set to be parallel to the direction of the X
axis, the direction of the crystal axis X41 corresponds to the polarizing direction
of the linearly polarized light L1. Accordingly, the linearly polarized light L1 is
transmitted through the first quarter-wave plate 4, maintaining the polarization state
at the time of being incident into the first quarter-wave plate 4 and is incident
into the end surface of the polarization maintaining fiber 17 by the lens 15.
[0060] As described above, the S axis and the F axis serving as the polarization maintaining
axes of the polarization maintaining fiber 17 are arranged in the direction at 45°
to the X axis and in the direction at 45° to the Y axis. Accordingly, when the linearly
polarized light L1 parallel to the X axis is incident into the polarization maintaining
fiber 17, the linearly polarized light L1 is split into the respective vector components
respectively parallel to the S axis and the F axis according to the light intensity
due to the birefringent characteristic of the polarization maintaining fiber 17, and
is converted into the two linearly polarized lights LF and LS, and the two linearly
polarized lights LF and LS are propagated inside the core 17a (refer to Figs. 3 and
5). The linearly polarized lights LF and LS are transmitted to the end surface on
one end side and are emitted from the end surface to the second quarter-wave plate
5.
[0061] When the two linearly polarized lights LF and LS are propagated inside the polarization
maintaining fiber 17, a phase difference ΔV resulting from a difference of the group
velocity between the fast axis and the slow axis is generated between the two linearly
polarized lights LF and LS. Accordingly, when the linearly polarized lights LF and
LS are emitted from the polarization maintaining fiber 17, the LF has a phase difference
as much as ΔV against the LS.
[0062] As described above, the direction of the crystal axis X51 on the optical surface
of the second quarter-wave plate 5 is set to be in the direction of the X axis. Accordingly,
the direction of the crystal axis X51 is arranged at the angle of ±45° to the polarizing
directions of the two linearly polarized lights LF and LS incident from the polarization
maintaining fiber 17 (refer to Figs. 6 and 7(b)). Since the F axis has an inclination
of -45° against the crystal axis X51, the linearly polarized light LF is converted
into the first circularly polarized light LC1 rotated to the left as seen from the
incident side of the second quarter-wave plate 5 (in the direction of the Z axis)
as illustrated in Fig. 7(c). On the other hand, since the S axis has an inclination
of +45° against the crystal axis X51, the linearly polarized light LS is converted
into the second circularly polarized light LC2 rotated to the right as seen from the
incident side of the second quarter-wave plate 5 (in the direction of the Z axis)
as illustrated in Fig. 7(d).
[0063] The circularly polarized light LC1, to which the phase difference ΔV is given and
which moves ahead, is emitted from the second quarter-wave plate 5 and is then transmitted
through the lens 16. Subsequently, when the circularly polarized light LC1 is transmitted
through the Faraday rotator 3, the circularly polarized light LC1 is provided with
a phase difference of 22.5° + α°. As described above, since the rotating direction
of the Faraday rotator 3 is set to left rotation as seen in the direction of the Z
axis, the phase difference is given to the circularly polarized light LC1 rotated
to the left as seen in the direction of the Z axis so that the circularly polarized
light LC1 may be advanced 22.5° + α° with respect to the LC2. After being transmitted
through the Faraday rotator 3, the two circularly polarized lights LC1 and LC2 are
incident into one end 2a of the optical fiber for a sensor 2.
[0064] The two circularly polarized lights LC1 and LC2 incident into the optical fiber for
a sensor 2 are propagated inside the sensor optical fiber 2, reach the other end side,
are reflected on the mirror 19, and return to one end 2a again (refer to Fig. 2).
During such reciprocating propagation of the circularly polarized lights LC1 and LC2
performed by the reflection, the circularly polarized lights LC1 and LC2 are influenced
by a magnetic field generated by the measured electric current I. A phase difference
φ in accordance with the magnitude of the measured electric current I is generated
between the two circularly polarized lights LC1 and LC2 by the Faraday effect. φ is
a phase difference between the circularly polarized lights LC1 and LC2 generated in
accordance with the measured electric current I by the Faraday effect when the circularly
polarized lights LC1 and LC2 reciprocate inside the optical fiber for a sensor 2.
[0065] Further, due to birefringence of the optical fiber for a sensor 2, a phase difference
is generated between the two circularly polarized lights LC1 and LC2 during the propagation
from one end 2a to the other end, and a ratio error caused by this phase difference
is also generated. However, the two circularly polarized lights LC1 and LC2 are propagated
between one end 2a and the other end in a reciprocating manner by the reflection on
the mirror 19. Accordingly, the phase difference generated during outbound propagation
from one end 2a to the other end is compensated by a phase difference generated during
inbound propagation from the other end to one end 2a. In the above manner, the ratio
error along with the birefringence inherent in the optical fiber for a sensor 2 is
compensated.
[0066] Although the respective rotating directions of the first circularly polarized light
LC1 and the second circularly polarized light LC2 do not change before and after the
reflection on the mirror 19, the propagating directions are reversed by the reflection.
Thus, the respective rotating directions are reversed when the lights are seen in
the outbound propagating directions.
[0067] The two reflected circularly polarized lights LC1 and LC2 are propagated into the
optical fiber for a sensor 2 again and are then emitted from one end 2a of the optical
fiber for a sensor 2 into the Faraday rotator 3 (refer to Figs. 2 and 8).
[0068] The circularly polarized lights LC1 and LC2 are incident into the Faraday rotator
3 from the side or direction of the optical fiber for a sensor 2 (in a direction of
a -Z axis). Also, the rotating directions of the respective circularly polarized lights
LC1 and LC2 in the outbound propagating directions are reversed on the outbound path
and the inbound path by the reflection on the mirror 19. Accordingly, when the two
circularly polarized lights LC1 and LC2 are transmitted through the Faraday rotator
3 again, the circularly polarized light LC1 is provided with the phase difference
of 22.5° + α° again. In the above manner, a phase difference between the two circularly
polarized lights LC1 and LC2 after being emitted from the optical fiber for a sensor
2 and being transmitted through the Faraday rotator 3 increases (45° + 2α° + φ + ΔV)
more than the phase difference between the two circularly polarized lights LC1 and
LC2 before being transmitted through the Faraday rotator 3 on the outbound path.
[0069] After being transmitted through the Faraday rotator 3, the two circularly polarized
lights LC1 and LC2 are transmitted through the lens 16 and are incident into the second
quarter-wave plate 5 again (refer to Figs. 8, 10(e), and 10(f)). Since the circularly
polarized light LC1 is a circularly polarized light rotated to the right when the
light is seen in the direction of the -Z direction as the propagating direction, the
circularly polarized light LC1 is converted into a linearly polarized light LS' having
the polarizing direction in the direction of the S axis by the second quarter-wave
plate 5. On the other hand, since the circularly polarized light LC2 is a circularly
polarized light rotated to the left when the light is seen in the direction of the
-Z direction, the circularly polarized light LC2 is converted into a linearly polarized
light LF' having the polarizing direction in the direction of the F axis by the second
quarter-wave plate 5 (refer to Figs. 8 and 10(g)).
[0070] The two linearly polarized lights LF' and LS' are incident into the end surface of
the polarization maintaining fiber 17 by the lens 16 and are propagated inside the
polarization maintaining fiber 17 to the other end side (refer to Fig. 9). The linearly
polarized light LF' is incident so that the polarizing direction thereof may be parallel
to the F axis (fast axis) of the polarization maintaining fiber 17 while the linearly
polarized light LS' is incident so that the polarizing direction thereof may be parallel
to the S axis (slow axis) of the polarization maintaining fiber 17. Thus, the two
linearly polarized lights LF' and LS' are propagated inside the polarization maintaining
fiber 17 to the side of the first quarter-wave plate 4, maintaining the respective
polarizing directions without being split further.
[0071] As described above, the phase difference ΔV resulting from the difference of the
group velocity in the polarization maintaining fiber 17 is given between the two linearly
polarized lights LF and LS on the outbound path (in the direction of the Z axis).
However, on the inbound path (in the direction of the -Z axis), the LS becomes the
linearly polarized light LF' in the direction of the F axis while the LF becomes the
linearly polarized light LS' in the direction of the S axis. Thus, on the inbound
path, the LF' has a phase difference as much as ΔV against the LS'. In other words,
the linearly polarized light LF, which has the phase difference ΔV on the outbound
path, has a phase difference -ΔV on the inbound path. Accordingly, by reciprocation
of the two linearly polarized lights inside the polarization maintaining fiber 17,
the phase difference in the polarization maintaining fiber 17 is compensated. In the
above manner, the phase difference between the two linearly polarized lights in the
polarization maintaining fiber 17, which is a reciprocating optical path between the
first quarter-wave plate 4 and the second quarter-wave plate 5, is compensated. Thus,
on the inbound path, a phase difference between the two linearly polarized lights
LF' and LS' at the time of being emitted from the polarization maintaining fiber 17
is (45° + 2α° + φ).
[0072] The two linearly polarized lights LF' and LS' propagated to the end surface on one
end side of the polarization maintaining fiber 17 are emitted from the end surface
via the lens 15 into the first quarter-wave plate 4 and are transmitted through the
first quarter-wave plate 4 to be combined into one light. Since the phase difference
between the two linearly polarized lights LF' and LS' is (45° + 2α° + φ), the combined
light is an elliptically polarized light with a long axis thereof inclined against
the Y axis. A ratio of the long axis component to the short axis component of this
elliptically polarized light changes depending on the phase difference φ. Such an
elliptically polarized light is incident into the polarization splitter 6.
[0073] A combined light incident into the polarization splitter 6 is split into the ordinary
light LO and the extraordinary light LE perpendicular to each other (refer to Figs.
2, 9, and 10(h)). The light intensities of the ordinary light LO and the extraordinary
light LE change depending on the phase difference φ. The light intensities are illustrated
to be high in Figs. 9 and 10(h) for easy viewing. Since the direction of the crystal
axis X61 is set to be in the direction of the Y axis, the direction of the crystal
axis X61 is perpendicular to the polarizing direction of the ordinary light LO. Accordingly,
the ordinary light LO is transmitted through the polarization splitter 6, maintaining
the propagating position of (2-3, a-b) as illustrated in Fig. 10(h), without causing
birefringence inside the polarization splitter 6 and is incident into the first optical
fiber 11. On the other hand, since the extraordinary light LE is parallel to the direction
of the crystal axis X61, the extraordinary light LE is shifted to a propagating position
of (2-3, c-d) in the polarization splitter 6 as illustrated in Fig. 10(h) and is incident
into the second optical fiber 12.
[0074] The linearly polarized light of the ordinary light LO incident into the first optical
fiber 11 is guided to the circulator 10 and is received in the photoelectric conversion
element 13a. On the other hand, the linearly polarized light of the extraordinary
light LE incident into the second optical fiber 12 is received in the photoelectric
conversion element 13b.
[0075] The two linearly polarized lights are converted into the first and second electric
signals by the photoelectric conversion elements 13a and 13b, and the electric signals
are input into the signal processing circuit 8. The average of the degrees of modulation
(alternating current component/direct current component) of the two electric signals
is calculated and is converted into an electric quantity, thereby obtaining a current
value for the measured electric current I. Fig. 14 illustrates an example of a temperature
characteristic graph of the ratio error in the measurement value of the measured electric
current I output from the signal processing circuit 8 in the electric current measuring
apparatus 1.
[0076] In the present invention, as illustrated in Fig. 14, the fluctuation range of the
ratio error in the measurement value of the measured electric current I output from
the signal processing circuit 8 is set within a range of ±0.5%. Also, ±0.5% is achieved
through the temperature range of 100 degrees in the Celsius scale (between -20°C.
or higher and 80°C. or lower). The reason for setting the temperature range to 100
degrees in the Celsius scale ranging between -20°C. or higher and 80°C. or lower is
that practicality to cover the normal temperature range, which ranges from -10°C.
or higher and 40°C. or lower, is taken into consideration. According to the present
invention, the setting of the fluctuation range of the ratio error within ±0.5% is
performed by adjustment of the rotation angle of the Faraday rotator 3, compensation
for the ratio error along with the birefringence inherent in the optical fiber for
a sensor 2, and compensation for the phase difference between the two linearly polarized
lights in the reciprocating optical path between the first quarter-wave plate 4 and
the second quarter-wave plate 5, as described above.
[0077] As described above, according to the present invention, in addition to the change
of the rotation angle of the Faraday rotator 3 as much as α° from 22.5° at the temperature
of 23°C. to reduce the fluctuation range of the ratio error in the electric current
measuring apparatus 1, the ratio error along with the birefringence inherent in the
optical fiber for a sensor 2 is compensated, and the phase difference between the
two linearly polarized lights in the reciprocating optical path between the first
quarter-wave plate 4 and the second quarter-wave plate 5 is compensated. Accordingly,
all of the phase differences other than the phase difference of the rotation angle
of the Faraday rotator 3 are compensated except the phase difference φ caused by the
Faraday effect in the optical fiber for a sensor 2 and do not appear in the output
of the electric current measuring apparatus 1. Consequently, since the fluctuation
range of the ratio error resulting from the birefringence of the optical fiber for
a sensor (approximately -0.1% to approximately 1.2%) is compensated, and the phase
difference between the two linearly polarized lights in the reciprocating optical
path between the first quarter-wave plate 4 and the second quarter-wave plate 5 is
compensated, the fluctuation range of the ratio error in the output of the electric
current measuring apparatus 1 can be set within ±0.5% reliably.
[0078] Also, since the phase differences other than the phase difference of the rotation
angle of the Faraday rotator 3 are compensated except the phase difference φ, the
output of the electric current measuring apparatus 1 is not influenced by phase changes
at the time of light propagation due to application of disturbances such as vibration
and temperature fluctuation to the polarization maintaining fiber 17 and the optical
fiber for a sensor 2. Accordingly, an output characteristic of the electric current
measuring apparatus 1 can be stabilized.
[0079] Further, by suppressing the fluctuation range of the ratio error in the output of
the electric current measuring apparatus 1 to be within ±0.5% in the temperature range
between -20°C. or higher and 80°C. or lower, reliability of the electric current measuring
apparatus is improved. Also, by suppressing the fluctuation range of the ratio error
to be within ±0.5%, it is possible to achieve the electric current measuring apparatus
which can be applied to a protection relay.
[0080] Still further, the directions of the crystal axes X41 and X51 on the respective optical
surfaces of the two quarter-wave plates 4 and 5 are set to be in equal directions.
Accordingly, even in a case in which the number of components increases as much as
the two quarter-wave plates 4 and 5 when the electric current measuring apparatus
1 using circularly polarized lights is constituted, no adjusting operation of the
angles of the crystal axes of the quarter-wave plates and no installing operation
of the quarter-wave plates are required. Thus, with the electric current measuring
apparatus 1 according to the present invention, high function of suppressing the fluctuation
range of the ratio error to be within ±0.5% and facilitation of assembling can be
achieved at the same time.
[0081] Meanwhile, in the electric current measuring apparatus 1 according to the present
invention, the direction of the crystal axis X61 of the polarization splitter 6 is
required to be set perpendicular to the direction of the crystal axis X41 of the first
quarter-wave plate 4. However, since a fine angle adjusting operation is not required
in comparison with a case of setting the directions at an angle of 45°, for example,
an assembling operation of the polarization splitter 6 and the first quarter-wave
plate 4 can be performed easily.
[0082] Meanwhile, the electric current measuring apparatus 1 can be changed to an electric
current measuring apparatus 28 in which the Faraday rotator 3 is constituted by two
Faraday elements 27a and 27b having different Faraday rotation angles, for example,
as illustrated in Fig. 16. In the electric current measuring apparatus 28, the total
Faraday rotation angle at the time of magnetic saturation when the two circularly
polarized lights LC1 and LC2 are transmitted through the two Faraday elements 27a
and 27b in the reciprocation is set to be an angle slightly changed from 45°. That
is, the total Faraday rotation angle when each of the two circularly polarized lights
LC1 and LC2 is transmitted through the two Faraday elements 27a and 27b once may be
set to be 22.5° + α°, the amount of the slight change. It is to be noted that the
number of the Faraday elements is not limited to two, and the Faraday rotator 3 may
be constituted by three or more Faraday elements.
[0083] Figs. 17 and 18 are graphs schematically illustrating temperature characteristics
of the Faraday rotation angles of the Faraday elements 27a and 27b, respectively.
Additionally, Fig. 19 illustrates a temperature characteristic of the Faraday rotation
angle when the temperature characteristics of the Faraday rotation angles of the respective
Faraday elements are combined. As illustrated in Fig. 17, the rotation angle of the
first Faraday element 27a has a quadratically-curved temperature dependency. Also,
as is apparent from Fig. 18, the rotation angle of the second Faraday element 27b
decreases uniformly in inverse proportion to the temperature increase in a temperature
range between -20°C. or higher and 80°C. or lower. Consequently, when the temperature
characteristics of the Faraday rotation angles of the first Faraday element 27a and
the second Faraday element 27b are combined, the temperature characteristic of the
Faraday rotation angle decreasing in a quadratically-curved manner along with the
temperature increase is revealed as illustrated in Fig. 19. Accordingly, by suppressing
the fluctuation range of the ratio error in the measurement value of the measured
electric current I to be within ±0.2% in the temperature range between -20°C. or higher
and 80°C. or lower, the electric current measuring apparatus can be used for application
in which the temperature characteristic of the ratio error within ±0.2% is required
(e.g., an electric energy meter for measuring an electric rate which requires strict
measurement).
[0084] As illustrated in Fig. 15, the temperature characteristic of the ratio error of the
lead-glass fiber which is used as the optical fiber for a sensor 2 increases uniformly
in proportion to the temperature increase. Accordingly, by providing the Faraday elements
27a and 27b with the decrease in the Faraday rotation angle in the high temperature
range and performing compensation for the birefringence of the optical fiber for a
sensor 2 and compensation for the phase difference between the two linearly polarized
lights in the reciprocating optical path between the two quarter-wave plates 4 and
5, when the temperature characteristic of the ratio error of the lead-glass fiber
which is used as the optical fiber for a sensor 2 is added, the decrease in the Faraday
rotation angle in the high temperature range compensates for the change in the ratio
error of the lead-glass fiber. Thus, as illustrated in Fig. 20, it becomes possible
to suppress the fluctuation range of the ratio error in the measurement value of the
measured electric current I output from the signal processing circuit 8 to be within
±0.5% (or ±0.2%) in the temperature range between -20°C. or higher and 80°C. or lower.
[0085] When the electric current measuring apparatus 1 and the electric current measuring
apparatus 28 are compared in terms of the configuration, the number of the Faraday
rotators 3 can be one in the electric current measuring apparatus 1. Thus, it is possible
to simplify the configuration of the electric current measuring apparatus as much,
and it becomes easy to adjust the fluctuation range of the ratio error in the measurement
value of the measured electric current I output from the signal processing circuit
8. For the above-described reasons, the electric current measuring apparatus 1 is
the most preferred embodiment.
[0086] However, when it is difficult to stably create the garnet single crystal having a
desired rotation angle due to the composition of the garnet of the Faraday rotator
3, the Faraday rotator 3 may be constituted by two or more Faraday elements. When
the Faraday rotator 3 is constituted by two or more Faraday elements, the Faraday
rotation angles of the Faraday elements are different from each other, thereby setting
the temperature characteristic of each Faraday element to a desired characteristic.
[0087] By suppressing the fluctuation range of the ratio error in the measurement value
of the measured electric current I to be within ±0.2% in the temperature range between
-20°C. or higher and 80°C. or lower, the electric current measuring apparatus can
be used for application in which the temperature characteristic of the ratio error
within ±0.2% is required (e.g., an electric energy meter for measuring an electric
rate which requires strict measurement).
[0088] The lead-glass fiber which is used as the optical fiber for a sensor 2 has the temperature
characteristic of the ratio error as illustrated in Fig. 15. Thus, when the rotation
angle of the Faraday rotator 3 is changed as much as α° from 22.5° to reduce the fluctuation
range of the ratio error in the electric current measuring apparatus 1, the temperature
characteristic of the ratio error of the lead-glass fiber is added, and the angle
of α° is adjusted so that the fluctuation range of the ratio error in the measurement
value of the measured electric current I output from the signal processing circuit
8 may be set within ±0.5% (or ±0.2%) in the temperature range between -20°C. or higher
and 80°C. or lower. Accordingly, even when the lead-glass fiber is used for the optical
fiber for a sensor 2, it is possible to suppress the fluctuation range of the ratio
error in the measurement value of the measured electric current I output from the
signal processing circuit 8 to be within ±0.5% (or ±0.2%).
[0089] Meanwhile, the present invention can be altered in various ways by a technical idea
thereof. For example, the optical fiber for a sensor 2 may be a quartz glass fiber.
Accordingly, since the electric current measuring apparatus according to the present
invention can be achieved broadly regardless of the kind of the optical fiber for
a sensor, the yield ratio of the electric current measuring apparatus can also be
improved. Also, the first optical fiber 11 may be changed to a single-mode optical
fiber.
[0090] Also, the reciprocating optical path between the first quarter-wave plate 4 and the
second quarter-wave plate 5 through which the two linearly polarized lights are propagated
is not limited to the polarization maintaining fiber 17 and may be constituted by
two birefringent elements 20a and 20b as illustrated in Fig. 22, for example, in which
directions of crystal axes X20a and X20b on the optical surfaces as seen in the direction
of the Z axis correspond, and in which directions in which the extraordinary light
is shifted are set to be reversed. It is to be noted that the lens 15 is omitted in
Fig. 22.
[0091] The directions of the crystal axes X41 and X51 on the respective optical surfaces
of the first quarter-wave plate 4 and the second quarter-wave plate 5 may be set to
be perpendicular to each other. Although each of the crystal axes X41 and X51 is set
in the direction of the X axis in the embodiment in Figs. 3 and 4, only the direction
of the crystal axis X41 may be changed to be parallel to the direction of the Y axis,
for example. Alternatively, the direction of the crystal axis X41 may be set to be
in the direction of the X axis while only the direction of the crystal axis X51 may
be changed to be parallel to the direction of the Y axis.
[0092] Even in the case in which the directions of the crystal axes X41 and X51 are set
to be perpendicular to each other, a fine adjusting operation of angles of the directions
of the crystal axes X41 and X51 is not required in comparison with a case of setting
the directions at an angle of 45° therebetween. Accordingly, an assembling operation
of the two quarter-wave plates 4 and 5 can be performed easily.
[0093] When the directions of the crystal axes X41 and X51 are set to be perpendicular to
or parallel to each other, care must be taken so that the direction of the crystal
axis X41 may be perpendicular to or parallel to the polarizing direction of the linearly
polarized light L1 and so that the direction of the crystal axis X51 may be at an
angle of ±45° to the respective polarizing directions of the two linearly polarized
lights LF and LS.
[0094] Also, as illustrated in Fig. 23, the direction of the crystal axis X61 on the optical
surface of the polarization splitter 6 and the direction of the crystal axis X41 on
the optical surface of the first quarter-wave plate 4 may be changed to be in an equal
direction. In the configuration example illustrated in Fig. 23, the direction of the
crystal axis X61 is set to be in the direction of the X axis. In this case, since
the linearly polarized light L1 propagated through the first optical fiber 11 is incident
into the polarization splitter 6 as the extraordinary light, the position of the end
surface 11a of the first optical fiber 11 has only to be changed as much as the shift
amount in the polarization splitter 6 in advance. At the same time, the position of
the second optical fiber 12 has only to be changed so that the end surface 12a may
be located at the position of the end surface 11a of the first optical fiber 11 in
Fig. 3.
[0095] In this manner, by setting the direction of the crystal axis X61 on the optical surface
of the polarization splitter 6 and the direction of the crystal axis X41 on the optical
surface of the first quarter-wave plate 4 in the equal direction, no adjusting operation
of the angles of the crystal axes of the polarization splitter 6 and the first quarter-wave
plate 4 and no installing operation of the polarization splitter 6 and the first quarter-wave
plate 4 are required. Thus, an assembling operation of the polarization splitter 6
and the first quarter-wave plate 4 can further be facilitated.
[0096] Further, by setting the direction of the crystal axis X61 on the optical surface
of the polarization splitter 6 and the directions of the crystal axes X41 and X51
on the optical surfaces of the two quarter-wave plates 4 and 5 in the equal direction,
no adjusting operation of the angles of the crystal axes of the polarization splitter
6 and the two quarter-wave plates 4 and 5 and no installing operation of the polarization
splitter 6 and the two quarter-wave plates 4 and 5 are required. Thus, an assembling
operation of the polarization splitter 6 and the two quarter-wave plates 4 and 5 can
further be facilitated.
Examples
[0097] Hereinbelow, examples of the present invention will be described. However, the present
invention is not limited to the foregoing examples. It is to be noted that, in each
of Examples 1 to 3, a lead-glass fiber is used for the optical fiber for a sensor
2, and a reciprocating optical path between the first quarter-wave plate 4 and the
second quarter-wave plate 5 is constituted by a polarization maintaining fiber (PMF).
Also, the directions of the crystal axes X41 and X51 on the optical surfaces of the
two quarter-wave plates 4 and 5 are set to be in the direction of the X axis, and
the direction of the crystal axis X61 of the change splitter 6 is set to be in the
direction of the Y axis.
(Example 1)
[0098] An example is described in which magnetic garnet which is used for an optical isolator
and has the temperature characteristic of the Faraday rotation angle illustrated in
Fig. 14 is used as the Faraday rotator 3 in Fig. 2. A Faraday rotator having a Faraday
rotation angle of 22.5° + 1.0° at the temperature of 23°C. was used. That is, α =
1.0° was set, and the total Faraday rotation angle at the time of magnetic saturation
when the circularly polarized lights LC1 and LC2 were transmitted in a reciprocating
manner was set to 47.0°. Table 1 and Fig. 24 show the temperature characteristic of
the ratio error in the measurement value of the measured electric current I output
from the signal processing circuit of the electric current measuring apparatus 1 having
the above Faraday rotator 3. In Table 1, "Faraday rotation angle" is the total Faraday
rotation angle at the time of magnetic saturation when the circularly polarized lights
LC1 and LC2 are transmitted in a reciprocating manner, and "ratio error" in Table
1 is the ratio error in the measurement value of the measured electric current I output
from the signal processing circuit of the electric current measuring apparatus 1.
Hereinbelow, the same is applied to Examples 2 and 3.
[Table 1]
| Temperature T [°C.] |
Rotation Angle [deg] |
Ratio Error [%] |
| -20 |
49.21 |
0.40 |
| -15 |
48.96 |
0.33 |
| -10 |
48.72 |
0.27 |
| -5 |
48.47 |
0.21 |
| 0 |
48.21 |
0.15 |
| 5 |
47.96 |
0.11 |
| 10 |
47.70 |
0.07 |
| 15 |
47.44 |
0.04 |
| 20 |
47.17 |
0.01 |
| 25 |
46.91 |
-0.01 |
| 30 |
46.63 |
-0.01 |
| 35 |
46.36 |
-0.01 |
| 40 |
46.08 |
-0.01 |
| 45 |
45.80 |
0.01 |
| 50 |
45.52 |
0.04 |
| 55 |
45.24 |
0.08 |
| 60 |
44.95 |
0.12 |
| 65 |
44.66 |
0.18 |
| 70 |
44.36 |
0.25 |
| 75 |
44.06 |
0.33 |
| 80 |
43.76 |
0.42 |
[0099] As is apparent from Table 1 and Fig. 24, in a case in which the number of Faraday
rotators is one, and in which α = 1.0° is set, the ratio error can fall within -0.01
to 0.42%, setting 23°C. as a standard. That is, the fluctuation range of the ratio
error falls within 0.43% through the temperature range between -20°C. or higher and
80°C. or lower.
(Example 2)
[0100] The temperature dependency of the rotation angle of the magnetic garnet in the reciprocation
was expressed by the following quadratic expression (Equation 1), a minimum value
of the ratio error fluctuation range for a coefficient a and a coefficient b was calculated.
A coefficient c was set so that the ratio error fluctuation range might have the minimum
value. The relation between the ratio error fluctuation range and the coefficients
a and b is shown in Table 2. Also, the relation between the adjustment amount α° of
the Faraday rotation angle and the coefficients a and b at the temperature of 23°
when the ratio error fluctuation range has the minimum value as in Table 2 is shown
in Table 3.

where T is a temperature [°C.]

[0101] Tables 2 and 3 show the point-symmetric relation centering on the value when the
coefficient a and the coefficient b are 0. From Table 2, the ratio error fluctuation
range has the minimum value when the coefficient a and the coefficient b are respectively
- 0.0001 and -0.02, and when the coefficient a and the coefficient b are respectively
0.0001 and 0.02. As shown in Table 3, the sign of the rotation angle adjustment amount
α° at that time is positive in the former case and negative in the latter case. Since
general magnetic garnet has the temperature characteristic of the Faraday rotation
angle which is an upward projecting curve and in which the rotation angle decreases
as the temperature increases, the signs of the coefficient a and the coefficient b
are negative. From the above, in order to reduce the ratio error fluctuation range,
it is apparent that the coefficient a and the coefficient b of the characteristics
of the temperature and of the rotation angle of the magnetic garnet are respectively
close to -0.0001 and -0.02. In this case, the rotation angle adjustment amount α°
becomes about 1.66°.
[0102] In order to achieve the coefficients a and b for reduction of the ratio error fluctuation
range, an example in which the two Faraday elements 27a and 27b illustrated in Fig.
16 are provided will be described. Magnetic garnet having a temperature dependency
in a quadratically-curved manner was used as the Faraday element 27a in Fig. 16, and
magnetic garnet illustrated in Fig. 26 was used as the Faraday element 27b. The temperature
dependencies of the Faraday elements 27a and 27b having the Faraday rotation angle
of 45° at the temperature of 23°C. are illustrated in Figs. 25 and 26.
[0103] As a result of optimizing the thickness of each of the Faraday elements 27a and 27b,
a Faraday element having a temperature dependency expressed by Equation 2 at the time
of reciprocation was obtained. The rotation angles of the Faraday element 27a and
the Faraday element 27b at the temperature of 23°C. at the time of magnetic saturation
are respectively 8.34° and 15.73°, the total Faraday rotation angle of 24.07° is thus
obtained, and the factor becomes as α = 1.57°. The total Faraday rotation angle at
the temperature of 23°C. at the time of magnetic saturation becomes 48.14° when the
circularly polarized lights LC1 and LC2 are transmitted in a reciprocating manner.
Fig. 27 illustrates the temperature dependency of the total Faraday rotation angle
at the time of reciprocation.

where T is a temperature [°C.]
[0104] Table 4 and Fig. 28 show the temperature characteristic of the ratio error in the
measurement value of the measured electric current I output from the signal processing
circuit of the electric current measuring apparatus 28.
[Table 4]
| Temperature T [°C.] |
Rotation Angle [deg] |
Ratio Error [%] |
| -20 |
49.03 |
-0.04 |
| -15 |
48.97 |
-0.02 |
| -10 |
48.89 |
-0.01 |
| -5 |
48.81 |
0.00 |
| 0 |
48.71 |
0.01 |
| 5 |
48.61 |
0.01 |
| 10 |
48.49 |
0.01 |
| 15 |
48.37 |
0.01 |
| 20 |
48.23 |
0.00 |
| 25 |
48.09 |
0.00 |
| 30 |
47.93 |
-0.01 |
| 35 |
47.77 |
-0.02 |
| 40 |
47.59 |
-0.03 |
| 45 |
47.40 |
-0.03 |
| 50 |
47.21 |
-0.04 |
| 55 |
47.00 |
-0.04 |
| 60 |
46.79 |
-0.04 |
| 65 |
46.56 |
-0.04 |
| 70 |
46.32 |
-0.03 |
| 75 |
46.08 |
-0.02 |
| 80 |
45.82 |
0.00 |
[0105] As is apparent from Table 4 and Fig. 28, in a case in which the two Faraday elements
27a and 27b are provided, and in which α = 1.57° is set, the ratio error can fall
within -0.04 to 0.01%, setting 23°C. as a standard. That is, the fluctuation range
of the ratio error falls within 0.05% through the temperature range between -20°C.
or higher and 80°C. or lower.
(Example 3)
[0106] Magnetic garnet was developed on the basis of the study result of Table 2 such that
the ratio error could be reduced using a single Faraday rotator. As a result, magnetic
garnet having temperature dependency expressed by Equation 3 shown below was obtained.
The Faraday rotation angle at the temperature of 23°C. was 24.22°, that is, the factor
was set as α= 1.72°. Fig. 29 illustrates the temperature dependency of the obtained
magnetic garnet.

where T is a temperature [°C.]
[0107] The total Faraday rotation angle at the time of magnetic saturation when the circularly
polarized lights LC1 and LC2 are transmitted in a reciprocating manner becomes 48.44°.
Table 5 and Fig. 30 show the temperature characteristic of the ratio error in the
measurement value of the measured electric current I output from the signal processing
circuit of the electric current measuring apparatus 1 having the Faraday rotator 3.
[Table 5]
| Temperature T [°C.] |
Rotation Angle [deg] |
Ratio Error [%] |
| -20 |
49.26 |
-0.05 |
| -15 |
49.19 |
-0.03 |
| -10 |
49.12 |
-0.02 |
| -5 |
49.04 |
-0.01 |
| 0 |
48.95 |
0.00 |
| 5 |
48.86 |
0.01 |
| 10 |
48.75 |
0.01 |
| 15 |
48.64 |
0.01 |
| 20 |
48.52 |
0.00 |
| 25 |
48.39 |
0.00 |
| 30 |
48.25 |
-0.01 |
| 35 |
48.10 |
-0.01 |
| 40 |
47.95 |
-0.02 |
| 45 |
47.79 |
-0.03 |
| 50 |
47.62 |
-0.04 |
| 55 |
47.44 |
-0.04 |
| 60 |
47.25 |
-0.04 |
| 65 |
47.06 |
-0.05 |
| 70 |
46.85 |
-0.04 |
| 75 |
46.64 |
-0.04 |
| 80 |
46.42 |
-0.03 |
[0108] As is apparent from Table 5 and Fig. 30, the ratio error range is -0.05 to 0.01%,
and the fluctuation range of the ratio error falls within 0.06% through the temperature
range between -20°C. or higher and 80°C. or lower. It was possible to realize the
same performance as the single Faraday rotator compared to Example 2.
EXPLANATION OF REFERENCE NUMERALS:
[0109]
- 1, 28
- Electric current measuring apparatus
- 2
- Optical fiber for a sensor
- 2a
- One end of optical fiber for a sensor
- 3
- Faraday rotator
- 3a
- Permanent magnet
- 4
- First quarter-wave plate
- X41
- Crystal axis on optical surface of first quarter-wave plate
- 5
- Second quarter-wave plate
- X51
- Crystal axis on optical surface of second quarter-wave plate
- 6
- Polarization splitter
- X61
- Crystal axis on optical surface of polarization splitter
- 7
- Light source
- 8
- Signal processing circuit
- 9
- Optical system
- 10
- Circulator
- 11
- First optical fiber
- 11a
- End surface on one end side of first optical fiber
- 12
- Second optical fiber
- 12a
- End surface on one end side of second optical fiber
- 13a, 13b
- Photoelectric conversion element
- 14
- Ferrule
- 15, 16
- Lens
- 17
- Polarization maintaining fiber
- 17a
- Core
- 17b
- Stress applying portion
- 17c
- Cladding
- 18
- Electric conductor
- 19
- Mirror
- 20a,
- 20b Birefringent element
- X20a, X20b
- crystal axis on optical surface of each birefringent element
- 21a, 21b
- Amplifier
- 22a, 22b
- Band-pass filter
- 23a, 23b
- Low-pass filter
- 24a, 24b
- Divider
- 25
- Polarity inverter
- 26
- Operator
- 27a, 27b
- Faraday element
- L1
- Linearly polarized light emitted from light source
- LF, LF'
- Linearly polarized light in direction of F axis of polarization maintaining fiber
- LS, LS'
- Linearly polarized light in direction of S axis of polarization maintaining fiber
- LC1, LC2
- Circularly polarized light
- LO
- Ordinary light
- LE
- Extraordinary light
- I
- Measured electric current